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Base field Base char. Dimension $p$-rank Initial coefficients
Simple Geom. simple Primitive Princ. polarizable Jacobian
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Results (1-50 of 56 matches)

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Label Dimension Base field L-polynomial $p$-rank Isogeny factors
2.13.ag_w $2$ $\F_{13}$ $1 - 6 x + 22 x^{2} - 78 x^{3} + 169 x^{4}$ $2$ simple
2.13.ag_ba $2$ $\F_{13}$ $( 1 - 6 x + 13 x^{2} )( 1 + 13 x^{2} )$ $1$ 1.13.ag $\times$ 1.13.a
2.13.ae_o $2$ $\F_{13}$ $( 1 - 6 x + 13 x^{2} )( 1 + 2 x + 13 x^{2} )$ $2$ 1.13.ag $\times$ 1.13.c
2.13.ae_r $2$ $\F_{13}$ $1 - 4 x + 17 x^{2} - 52 x^{3} + 169 x^{4}$ $2$ simple
2.13.ae_s $2$ $\F_{13}$ $1 - 4 x + 18 x^{2} - 52 x^{3} + 169 x^{4}$ $2$ simple
2.13.ae_v $2$ $\F_{13}$ $( 1 - 5 x + 13 x^{2} )( 1 + x + 13 x^{2} )$ $2$ 1.13.af $\times$ 1.13.b
2.13.ae_ba $2$ $\F_{13}$ $( 1 - 4 x + 13 x^{2} )( 1 + 13 x^{2} )$ $1$ 1.13.ae $\times$ 1.13.a
2.13.ad_e $2$ $\F_{13}$ $1 - 3 x + 4 x^{2} - 39 x^{3} + 169 x^{4}$ $2$ simple
2.13.ad_h $2$ $\F_{13}$ $1 - 3 x + 7 x^{2} - 39 x^{3} + 169 x^{4}$ $2$ simple
2.13.ad_m $2$ $\F_{13}$ $1 - 3 x + 12 x^{2} - 39 x^{3} + 169 x^{4}$ $2$ simple
2.13.ac_ac $2$ $\F_{13}$ $1 - 2 x - 2 x^{2} - 26 x^{3} + 169 x^{4}$ $2$ simple
2.13.ac_a $2$ $\F_{13}$ $1 - 2 x - 26 x^{3} + 169 x^{4}$ $1$ simple
2.13.ac_c $2$ $\F_{13}$ $( 1 - 6 x + 13 x^{2} )( 1 + 4 x + 13 x^{2} )$ $2$ 1.13.ag $\times$ 1.13.e
2.13.ac_h $2$ $\F_{13}$ $1 - 2 x + 7 x^{2} - 26 x^{3} + 169 x^{4}$ $2$ simple
2.13.ac_k $2$ $\F_{13}$ $1 - 2 x + 10 x^{2} - 26 x^{3} + 169 x^{4}$ $2$ simple
2.13.ac_m $2$ $\F_{13}$ $1 - 2 x + 12 x^{2} - 26 x^{3} + 169 x^{4}$ $2$ simple
2.13.ac_p $2$ $\F_{13}$ $1 - 2 x + 15 x^{2} - 26 x^{3} + 169 x^{4}$ $2$ simple
2.13.ac_s $2$ $\F_{13}$ $( 1 - 4 x + 13 x^{2} )( 1 + 2 x + 13 x^{2} )$ $2$ 1.13.ae $\times$ 1.13.c
2.13.ac_t $2$ $\F_{13}$ $1 - 2 x + 19 x^{2} - 26 x^{3} + 169 x^{4}$ $2$ simple
2.13.ac_w $2$ $\F_{13}$ $1 - 2 x + 22 x^{2} - 26 x^{3} + 169 x^{4}$ $2$ simple
2.13.ab_e $2$ $\F_{13}$ $1 - x + 4 x^{2} - 13 x^{3} + 169 x^{4}$ $2$ simple
2.13.a_ak $2$ $\F_{13}$ $( 1 - 6 x + 13 x^{2} )( 1 + 6 x + 13 x^{2} )$ $2$ 1.13.ag $\times$ 1.13.g
2.13.a_ag $2$ $\F_{13}$ $1 - 6 x^{2} + 169 x^{4}$ $2$ simple
2.13.a_ac $2$ $\F_{13}$ $1 - 2 x^{2} + 169 x^{4}$ $2$ simple
2.13.a_a $2$ $\F_{13}$ $1 + 169 x^{4}$ $0$ simple
2.13.a_b $2$ $\F_{13}$ $( 1 - 5 x + 13 x^{2} )( 1 + 5 x + 13 x^{2} )$ $2$ 1.13.af $\times$ 1.13.f
2.13.a_f $2$ $\F_{13}$ $1 + 5 x^{2} + 169 x^{4}$ $2$ simple
2.13.a_g $2$ $\F_{13}$ $1 + 6 x^{2} + 169 x^{4}$ $2$ simple
2.13.a_i $2$ $\F_{13}$ $1 + 8 x^{2} + 169 x^{4}$ $2$ simple
2.13.a_k $2$ $\F_{13}$ $( 1 - 4 x + 13 x^{2} )( 1 + 4 x + 13 x^{2} )$ $2$ 1.13.ae $\times$ 1.13.e
2.13.a_n $2$ $\F_{13}$ $1 + 13 x^{2} + 169 x^{4}$ $0$ simple
2.13.a_o $2$ $\F_{13}$ $1 + 14 x^{2} + 169 x^{4}$ $2$ simple
2.13.a_p $2$ $\F_{13}$ $1 + 15 x^{2} + 169 x^{4}$ $2$ simple
2.13.a_s $2$ $\F_{13}$ $1 + 18 x^{2} + 169 x^{4}$ $2$ simple
2.13.a_w $2$ $\F_{13}$ $( 1 - 2 x + 13 x^{2} )( 1 + 2 x + 13 x^{2} )$ $2$ 1.13.ac $\times$ 1.13.c
2.13.b_e $2$ $\F_{13}$ $1 + x + 4 x^{2} + 13 x^{3} + 169 x^{4}$ $2$ simple
2.13.c_ac $2$ $\F_{13}$ $1 + 2 x - 2 x^{2} + 26 x^{3} + 169 x^{4}$ $2$ simple
2.13.c_a $2$ $\F_{13}$ $1 + 2 x + 26 x^{3} + 169 x^{4}$ $1$ simple
2.13.c_c $2$ $\F_{13}$ $( 1 - 4 x + 13 x^{2} )( 1 + 6 x + 13 x^{2} )$ $2$ 1.13.ae $\times$ 1.13.g
2.13.c_h $2$ $\F_{13}$ $1 + 2 x + 7 x^{2} + 26 x^{3} + 169 x^{4}$ $2$ simple
2.13.c_k $2$ $\F_{13}$ $1 + 2 x + 10 x^{2} + 26 x^{3} + 169 x^{4}$ $2$ simple
2.13.c_m $2$ $\F_{13}$ $1 + 2 x + 12 x^{2} + 26 x^{3} + 169 x^{4}$ $2$ simple
2.13.c_p $2$ $\F_{13}$ $1 + 2 x + 15 x^{2} + 26 x^{3} + 169 x^{4}$ $2$ simple
2.13.c_s $2$ $\F_{13}$ $( 1 - 2 x + 13 x^{2} )( 1 + 4 x + 13 x^{2} )$ $2$ 1.13.ac $\times$ 1.13.e
2.13.c_t $2$ $\F_{13}$ $1 + 2 x + 19 x^{2} + 26 x^{3} + 169 x^{4}$ $2$ simple
2.13.c_w $2$ $\F_{13}$ $1 + 2 x + 22 x^{2} + 26 x^{3} + 169 x^{4}$ $2$ simple
2.13.d_e $2$ $\F_{13}$ $1 + 3 x + 4 x^{2} + 39 x^{3} + 169 x^{4}$ $2$ simple
2.13.d_h $2$ $\F_{13}$ $1 + 3 x + 7 x^{2} + 39 x^{3} + 169 x^{4}$ $2$ simple
2.13.d_m $2$ $\F_{13}$ $1 + 3 x + 12 x^{2} + 39 x^{3} + 169 x^{4}$ $2$ simple
2.13.e_o $2$ $\F_{13}$ $( 1 - 2 x + 13 x^{2} )( 1 + 6 x + 13 x^{2} )$ $2$ 1.13.ac $\times$ 1.13.g
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